A leg of a right triangle measures 12 cm. The hypotenuse of the triangle measures 37 cm. What is the measure, in centimeters, of the other leg of the triangle?

35 cm

Step-by-step explanation:

Use the pythagorean theorem, a² + b² = c², where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse:

Plug in the values we know:

a² + b² = c²

12² + b² = 37²

Solve for b (the other leg):

12² + b² = 37²

144 + b² = 1369

b² = 1225

b = 35

So, the length of the other leg of the triangle is 35 cm